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Finding the Third Proportional to 3,104 and 6,753.88

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Solution

The third proportional to 3,104 and 6,753.88 is: 14,695.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,104 : 6,753.88 = 6,753.88 : x
  2. Step 2: Convert to fraction form
    3,104/6,753.88 = 6,753.88/x
  3. Step 3: Cross multiply
    3,104x = 6,753.88 × 6,753.88
  4. Step 4: Simplify right side
    3,104x = 45,614,827.52
  5. Step 5: Solve for x
    x = 45,614,827.52/3,104
  6. Step 6: Final answer
    x = 14,695.50

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.